Time-dependent picture of two harmonically coupled particles passing over an asymmetrical barrier and then distributing over a double-well potential is considered. The coupling-induced transition of states is investigated through calculating the survival probability of the center-of-mass of two...

The transition from a non-chaotic state to a chaotic state is a commonly concerned issue in the study of coupled dynamical networks. In this work, we consider a network consisting of nodes that are in non-chaotic states with parameters in non-chaotic regions before they are coupled together. We...

This is study of a class of lattice polymer models which have a singular lowest-energy conformation and undergo a phase transition from the statistically random state to the unique ground state. Such foldable lattice polymers can be considered as a crude model for protein molecules. The...